Diphoton signals for large extra dimensions at the Fermilab Tevatron and CERN LHC

We analyze the potentiality of hadron colliders to search for large extra dimensions via the production of photon pairs. The virtual exchange of Kaluza--Klein gravitons can significantly enhance this processes provided the quantum gravity scale ($M_S$) is in the TeV range. We studied in detail the subprocesses $q \bar{q} \to \gamma \gamma$ and $g g \to \gamma \gamma$ taking into account the complete Standard Model and graviton contributions as well as the unitarity constraints. We show that the Tevatron Run II will be able to probe $M_S$ up to 1.5--1.9 TeV at 2$\sigma$ level, while the LHC can extend this search to 5.3--6.7 TeV, depending on the number of extra dimensions.Comment: 22 pages LaTex, 8 eps figures. Using axodraw.sty. To be submitted to Physical Review